Triangles — Practice Quiz
Maharashtra Board · Class 9 · Mathematics
Try a 4-question quiz on Triangles for Maharashtra Board Class 9 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.
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Quick Quiz: Triangles
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In triangle ABC, if AB = 5 cm, BC = 12 cm, and AC = 13 cm, what type of triangle is ABC?
In triangle PQR, if ∠P = 30°, ∠Q = 90°, and PQ = 6 cm, find the length of PR (hypotenuse).
In triangle XYZ, if XY = 7 cm, YZ = 24 cm, and XZ = 25 cm, find the length of the median from Y to side XZ.
In triangle PQR, if PQ = 8 cm, QR = 15 cm, and PR = 17 cm, find the area of the triangle using Heron's formula.
Sample Questions
Which of the following are valid tests for triangle congruence? (Select all correct answers)
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SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), RHS (Right angle-Hypotenuse-Side)
Valid congruence tests are: SSS (all three sides equal), SAS (two sides and included angle), ASA (two angles and included side), and RHS (for right triangles). AAA only shows similarity, not congruence, as triangles can have same angles but different sizes.
If triangle ABC is isosceles with AB = AC = 10 cm and BC = 12 cm, find the length of the altitude from A to BC.
The exterior angle of a triangle is always greater than either of its remote interior angles.
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True
This is the exterior angle theorem property. An exterior angle equals the sum of its two remote interior angles, so it must be greater than either individual remote interior angle. If exterior angle = angle1 + angle2, then exterior angle > angle1 and exterior angle > angle2.
Match each triangle type with its angle property:
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Equilateral triangle - All angles are 60°
Equilateral triangles have all sides equal, so all angles are 60°. Isosceles triangles have two equal sides, so two base angles are equal. Right triangles have one 90° angle. Scalene triangles have all sides different, so all angles are different.
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